By Qi Su
"This publication explores suitable theoretical frameworks, the newest empirical study findings, and industry-approved innovations during this box of electromagnetic brief phenomena"--Provided through publisher.
content material: part 1. uncomplicated theories --
part 2. Modelling --
part three. Applications.
summary: "This ebook explores appropriate theoretical frameworks, the most recent empirical study findings, and industry-approved concepts during this box of electromagnetic temporary phenomena"--Provided by means of writer
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Extra info for Electromagnetic transients in transformer and rotating machine windings
Example text
However, it does not produce precise solutions of voltages and currents since an ideally transposed line and perfectly conducting earth do not exist in an actual system. Before the modal theory was established, propagation constants and characteristic impedances were found by expanding matrix functions to a series of polynomials. This section discusses propagation constants and characteristic impedances and admittance Transmission Line Theories for the Analysis of Electromagnetic Transients in Coil Windings matrices in the modal domain after reviewing the modal theory.
It should be noted that α and β shown in Figure 7 are not frequency-dependent in a sense discussed in this section. The frequency-dependence of attenuation constant α(ω) and phase constant β(ω) in Figure 7 comes from the definition of impedance Z and admittance Y of a conductor: Transmission Line Theories for the Analysis of Electromagnetic Transients in Coil Windings Figure 19. Frequency dependence of Z = R + jωL Z = R + j ωL, Y = j ωC In this section, we discuss the frequency dependence, which comes from R = R(ω) and L = L(ω) as in Equation (162).
An experimental circuit with a horizontal conductor Figure 42. Measured results for the horizontal conductor case Figure 43. Calculated results by the proposed coil model An experimental setup is illustrated in Figure 41, where the horizontal conductor represents a ground wire (GW). Figure 42 shows measured results of a ground wire (GW) current and an induced voltage across the coil terminals. 40 Simulation results are given in Figure 43. The oscillation frequency of the GW current is analytically estimated by: f0 = 1 / 2π LgC = 63 kHz (189) Transmission Line Theories for the Analysis of Electromagnetic Transients in Coil Windings Figure 44.